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A. gof(x) = 4x^2 - 6x + 1
g(f(x)) = 4x^2 - 6x + 1
g (2x+3) = 4x^2 - 6x + 1
g (2x+3) = (2x+3)^2 - 18x -8
g (2x+3) = (2x+3)^2 - 9 (2x+3) + 19
g(x) = x^2 - 9x + 19
B. fog(x) = f (g(x)) = 2 g(x) + 3
= 2 ( x^2 - 9x + 19) + 3
= 2x^2 - 18x + 38 + 3
= 2x^2 - 18x + 41